Results 241 to 250 of about 646,532 (282)

ALTERNATING GROUPS AS AUTOMORPHISM GROUPS OF RIEMANN SURFACES

International Journal of Algebra and Computation, 2006
In this work we give pairs of generators (x, y) for the alternating groups An, 5 ≤ n ≤ 19, such that they determine the minimal genus of a Riemann surface on which An acts as the automorphism group. Using these results we prove that A15 is the unique of these groups that is an H*-group, i.e., the groups achieving the upper bound of the order of an ...
J. J. Etayo Gordejuela, E. Martínez
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An Alternative to Group Homes

British Journal of Psychiatry, 1978
SummaryThis paper describes a supported lodgings scheme as an alternative to group homes. It is pointed out that the County Council has a statutory duty to finance supported lodgings and that schizophrenics are ideally suited to such a scheme. Some short-stay, the majority of the ‘new’ non-demented long-stay, and a large number of the ‘old’ long-stay ...
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Induced Representations and Alternating Groups

Canadian Journal of Mathematics, 1964
This paper is based on part of the thesis of one of the authors (5), submitted at the University of Toronto in 1963. In the first part of the paper a result on induced representations (2, 4, 9) is generalized slightly and a number of corollaries are derived.
Puttaswamaiah, B. M., Robinson, Gilbert de B.   +1 more
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A characterization of alternating groups

Algebra and Logic, 2005
Given a set \(I\), denote by \(A(I)\) the alternating group on \(I\), that is the group of all almost identical even permutations of \(I\). If \(|I|=n\) then \(A(I)=A_n\). Let \(|I|>4\) and let \(X\) be the set of all \(3\)-cycles \((i,j,k)\) with \(i,j,k\) distinct elements of \(I\). The set \(X\) is a conjugacy class in \(A(I)\), it generates \(A(I)\)
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A note on the alternating group network

The Journal of Supercomputing, 2010
The class of alternating group networks was introduced in the late 1990’s as an alternative to the alternating group graphs as interconnection networks. Recently, additional properties for the alternating group networks have been published. In particular, Zhou et al., J.
Eddie Cheng 0001, Ke Qiu 0001, Zhizhang Shen   +2 more
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A characterization of alternating groups. II

Algebra and Logic, 2006
[For part I, cf. Algebra Logika 44, No. 1, 54-69 (2005); translation in Algebra Logic 44, No. 1, 31-39 (2005; Zbl 1096.20004).] Summary: Let \(G\) be a group. A subset \(X\) of \(G\) is called an \(A\)-subset if \(X\) consists of elements of order 3, \(X\) is invariant in \(G\), and any two non-commuting members of \(X\) generate a subgroup isomorphic ...
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Markov Ciphers and Alternating Groups

2007
This paper includes some relations between differential cryptanalysis and group theory. The main result is the following: If the one-round functions of an r-round iterated cipher generate the alternating or the symmetric group, then for all corresponding Markov ciphers the chains of differences are irreducible and aperiodic.As an application it will be
G. Hornauer, W. Stephan, Ralph Wernsdorf
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Permutation generators of alternating groups

1990
The problem of generation of permutations from small ones is especially important from a cryptographic point of view. This work explores the case This work addresses the design of cryptographic systems using elementary permutations, also called modules. These modules have a simple structure and are based on internal smaller permutations. Two cases have
Josef Pieprzyk, Xian-Mo Zhang
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The alternating groups

2009
The most familiar of the (finite non-abelian) simple groups are the alternating groups A n , which are subgroups of index 2 in the symmetric groups S n . In this chapter our main aims are to define these groups, prove they are simple, determine their outer automorphism groups, describe in general terms their subgroups, and construct their covering ...
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On a conjecture of huppert for alternating groups

Archiv der Mathematik, 2002
Let \(G\) be a finite group. Let \(cd(G)\) denote the set of degrees of complex irreducible characters of \(G\). In the paper under review the following result on the alternating group is proved: Let \(n\geq 5\). Suppose that there is a prime \(p\) such that elements of \(cd(A_n)\) are either prime to \(p\) or \(p\)-powers and that some \(p\)-power ...
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